1001/1000: Difference between revisions

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[[Category:13-limit]]
[[Category:13-limit]]
[[Category:Unnoticeable comma]]
[[Category:Unnoticeable commas]]
[[Category:Sinbadmic]]
[[Category:Sinbadmic]]

Revision as of 22:01, 20 March 2022

Interval information
Ratio 1001/1000
Factorization 2-3 × 5-3 × 7 × 11 × 13
Monzo [-3 0 -3 1 1 1
Size in cents 1.730369¢
Names fairytale comma,
sinbadma
FJS name [math]\displaystyle{ \text{dd2}^{7,11,13}_{5,5,5} }[/math]
Special properties superparticular,
reduced
Tenney height (log2 nd) 19.933
Weil height (log2 max(n, d)) 19.9345
Wilson height (sopfr(nd)) 52
Open this interval in xen-calc

1001/1000, otherwise known as the fairytale comma, or the sinbadma, is an unnoticeable 13-limit comma by which a stack consisting of 7/5, 11/10, and 13/10 exceeds the octave, or equivalently stated, an octave reduced stack consisting of 7/4, 11/8, and 13/8 exceeds the 125/64 classic augmented seventh.

See also